Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4587228 | Journal of Algebra | 2010 | 5 Pages |
Abstract
The n-th order covariant derivative on a smooth manifold with affine connection is a differential operator which maps a function to a tensor field of type (0,n). In the paper the properties of this operator related to the permutations of indices are investigated by means of non-associative algebra. The general formula for commutation relations of this kind is obtained.
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Mathematics
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